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Finding the Third Proportional to 183,529.50 and 269,229

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Solution

The third proportional to 183,529.50 and 269,229 is: 394,946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,529.50 : 269,229 = 269,229 : x
  2. Step 2: Convert to fraction form
    183,529.50/269,229 = 269,229/x
  3. Step 3: Cross multiply
    183,529.50x = 269,229 × 269,229
  4. Step 4: Simplify right side
    183,529.50x = 72,484,254,441
  5. Step 5: Solve for x
    x = 72,484,254,441/183,529.50
  6. Step 6: Final answer
    x = 394,946.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.